Finding the Third Proportional to 33,998 and 72,914

Step by Step Solution

1. Step 1: Write the proportion equation
   33,998 : 72,914 = 72,914 : x
2. Step 2: Convert to fraction form
   33,998/72,914 = 72,914/x
3. Step 3: Cross multiply
   33,998x = 72,914 × 72,914
4. Step 4: Simplify right side
   33,998x = 5,316,451,396
5. Step 5: Solve for x
   x = 5,316,451,396/33,998
6. Step 6: Final answer
   x = 156,375.42